Home / 5,302.20-7,952.94-1,406.64

Finding the Fourth Proportional to 5,302.20, 7,952.94 and 1,406.64

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Solution

The fourth proportional to 5,302.20, 7,952.94 and 1,406.64 is: 2,109.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.20 : 7,952.94 = 1,406.64 : x
  2. Step 2: Convert to fraction form
    5,302.20/7,952.94 = 1,406.64/x
  3. Step 3: Cross multiply
    5,302.20x = 7,952.94 × 1,406.64
  4. Step 4: Simplify right side
    5,302.20x = 11,186,923.52
  5. Step 5: Solve for x
    x = 11,186,923.52/5,302.20
  6. Step 6: Final answer
    x = 2,109.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.